LCM of 975, 371, 554, 812, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 371, 554, 812, 938 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 975, 371, 554, 812, 938. So, keep reading to learn more.
Given numbers are 975,371,554,812,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,371,554,812,938 is 778737495900.
Find LCM of 975,371,554,812,938 with Prime Factorization
| 2 | 975, 371, 554, 812, 938 |
| 7 | 975, 371, 277, 406, 469 |
| 975, 53, 277, 58, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 975 x 53 x 277 x 58 x 67 = 778737495900
Therefore, the lowest common multiple of 975,371,554,812,938 is 778737495900.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
975 x 371 x 554 x 812 x 938 = 152632549196400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
371 : 1, 7, 53, 371
554 : 1, 2, 277, 554
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,371,554,812,938, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
371:7x 53
554:2x 277
812:2x 2x 7x 29
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7 = 196
Therefore, the value for common factors is 196.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 152632549196400/(1x196)
LCM = 152632549196400/196
LCM = 778737495900
Thus, we can understand that the LCM of 975,371,554,812,938 is 778737495900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 975, 371, 554, 812, 938
1. What is the LCM of 975, 371, 554, 812, 938?
Answer: LCM of 975, 371, 554, 812, 938 is 778737495900.
2. How to calculate the LCM of 975, 371, 554, 812, 938?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 975, 371, 554, 812, 938.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.